Q: The major difference between the equation for a hyperbola and for an ellipse is the operation performed. the terms in the equation of a blank are added?

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hyperbola

Both the ellipse and the hyperbola has an x squared and a y squared term. In the ellipse, they are both positive. In the hyperbola, one of them is negative. Example: 3x^2 /36 + 5y^2 / 64 = 1 (ellipse) 3x^2 / 36 - 5y^2 / 64 = 1 (hyperbola)

ellipse are added hyperbola are subtracted

denominators

denominators

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hyperbola

hyperbola

Both the ellipse and the hyperbola has an x squared and a y squared term. In the ellipse, they are both positive. In the hyperbola, one of them is negative. Example: 3x^2 /36 + 5y^2 / 64 = 1 (ellipse) 3x^2 / 36 - 5y^2 / 64 = 1 (hyperbola)

ellipse are added hyperbola are subtracted

find the constant difference for a hyperbola with foci f1 (5,0) and f2(5,0) and the point on the hyperbola (1,0).

denominators

denominators

If the equation of a hyperbola is ( x² / a² ) - ( y² / b² ) = 1, then the joint of equation of its Asymptotes is ( x² / a² ) - ( y² / b² ) = 0. Note that these two equations differ only in the constant term. ____________________________________________ Happy To Help ! ____________________________________________

Defn: A hyperbola is said to be a rectangular hyperbola if its asymptotes are at right angles. Std Eqn: The standard rectangular hyperbola xy = c2

7/12 and 7/12 is the answer

true

True